Analysis of Descriptor Systems Using Numerical Algorithms

Richard F. Sincovec, Albert M. Erisman, Elizabeth L. Yip, Michael A. Epton

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

In this paper we analyze numerical methods for the solution of the large scale dynamical system Ey(t)=Ay(t)+g(t), y(to)=Yo, where E and A are matrices, possibly singular. Systems of this type have been referred to as Amplicit systems and more recently as descriptor systems since they arise from formulating system equations in physical variables. Special cases of such systems are algebraic-differential systems. We discuss the numerical advantages of this formulation and identify a class of numerical integration algorithms which have accuracy and stability properties appropriate to descriptor systems and which preserve structure, detect nonsolvable systems, resolve initial value consistency problems,. and are applicable to “stiff” descriptor systems. We also present an algorithm for the control of the local truncation error on only the state variables.

Original languageEnglish (US)
Pages (from-to)139-147
Number of pages9
JournalIEEE Transactions on Automatic Control
Volume26
Issue number1
DOIs
StatePublished - Feb 1981

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Initial value problems
Numerical methods
Dynamical systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Analysis of Descriptor Systems Using Numerical Algorithms. / Sincovec, Richard F.; Erisman, Albert M.; Yip, Elizabeth L.; Epton, Michael A.

In: IEEE Transactions on Automatic Control, Vol. 26, No. 1, 02.1981, p. 139-147.

Research output: Contribution to journalArticle

Sincovec, Richard F. ; Erisman, Albert M. ; Yip, Elizabeth L. ; Epton, Michael A. / Analysis of Descriptor Systems Using Numerical Algorithms. In: IEEE Transactions on Automatic Control. 1981 ; Vol. 26, No. 1. pp. 139-147.
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